If a polygon is a kite, which statement is not true?
a. The polygon is a quadrilateral.
b. The polygon has exactly two distinct pairs of adjacent congruent sides.
c. The diagonals of the polygon are congruent.
d. The diagonals of the polygon are perpendicular.
why would d be true?
To determine which statement is not true in this case, let's analyze each given statement:
a. The polygon is a quadrilateral.
- This statement is true. A kite is a type of quadrilateral, so it has four sides.
b. The polygon has exactly two distinct pairs of adjacent congruent sides.
- This statement is true. In a kite, there are two pairs of adjacent sides that are congruent.
c. The diagonals of the polygon are congruent.
- This statement is true. In a kite, the diagonals are always congruent.
d. The diagonals of the polygon are perpendicular.
- This statement is NOT true. In a kite, the diagonals are not necessarily perpendicular to each other. They can intersect at a right angle, but they can also intersect at other angles.
Therefore, the statement that is not true is d. The diagonals of the polygon are perpendicular.